Q: What are the factor combinations of the number 4,425,715?

 A:
Positive:   1 x 44257155 x 8851437 x 63224531 x 14276535 x 126449155 x 28553217 x 203951085 x 4079
Negative: -1 x -4425715-5 x -885143-7 x -632245-31 x -142765-35 x -126449-155 x -28553-217 x -20395-1085 x -4079


How do I find the factor combinations of the number 4,425,715?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 4,425,715, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 4,425,715
-1 -4,425,715

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 4,425,715.

Example:
1 x 4,425,715 = 4,425,715
and
-1 x -4,425,715 = 4,425,715
Notice both answers equal 4,425,715

With that explanation out of the way, let's continue. Next, we take the number 4,425,715 and divide it by 2:

4,425,715 ÷ 2 = 2,212,857.5

If the quotient is a whole number, then 2 and 2,212,857.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 4,425,715
-1 -4,425,715

Now, we try dividing 4,425,715 by 3:

4,425,715 ÷ 3 = 1,475,238.3333

If the quotient is a whole number, then 3 and 1,475,238.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 4,425,715
-1 -4,425,715

Let's try dividing by 4:

4,425,715 ÷ 4 = 1,106,428.75

If the quotient is a whole number, then 4 and 1,106,428.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 4,425,715
-1 4,425,715
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15731351552171,0854,07920,39528,553126,449142,765632,245885,1434,425,715
-1-5-7-31-35-155-217-1,085-4,079-20,395-28,553-126,449-142,765-632,245-885,143-4,425,715

More Examples

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